8 n=1 (−1)n-¹ 3 + 5n

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

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Q: 00 13Σ (x – 1)* k k = 0

A: Recall: Ratio test

Q: 2! .2 x. 3!3 5. 1+ 4! 2 32 3 4 54 + ... ∞

A: Given series is 1+x2+2!32x2+3!43x3+4!54x4+····

Q: Two similar-looking series are given. Test each one for convergence or divergence. (a) W O…

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Q: For the following power series find the interval and radius of convergence.

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Q: Test the convergence of the following series: n2 n=1

A: We can use root test to check convergence of this series.

Q: Test the following series for being diverge or Convergent 3 8n-3n

A: Hey, since there are multiple subpart posted, we will answer the first question. If you want any…

Q: Determine the interval of convergence for the following power series.   ∑(4x-1)k-1 (6k/k)

A: To Find: Interval of convergence of the series∑k=1∞4x-1k-16kk.

Q: Test the series for convergence or divergence. Justify your answer! E(-1)*. 5Inn *-2

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Q: Show the following series is conditionally convergent. -(-1)"

A: Given series is ∑n=1∞(-1)nn12 we have to the series is conditionally convergent.

Q: Test the following series for convergence or divergence. Justify your reasoning. (a) E n=0 (b) V3 –…

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Q: 1 c) Em=isin (3) 15+1 d) _E=1; (n+3)! (1948). e) Σ=1 (2m3+5)

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Q: 3n n=1 n!

A: Explanation of the answer is as follows